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Author ID: kac.victor-g Recent zbMATH articles by "Kac, Victor"
Published as: Kac, Victor G.; Kac, V. G.; Kac, Victor; Kac, V.; Kats, V. G.; Gatti, V.
Further Spellings: Kats, Viktor Gershevich; Kats, Viktor Grigor’evich; Кац Виктор Гершевич
Homepage: https://math.mit.edu/~kac/index.html
External Links: MGP · Wikidata · Google Scholar · Math-Net.Ru · GND · IdRef
all top 5

Co-Authors

60 single-authored
47 De Sole, Alberto
27 Wakimoto, Minoru
21 Valeri, Daniele
20 Möseneder Frajria, Pierluigi
20 Papi, Paolo
15 Bakalov, Bojko
14 van de Leur, Johan W.
12 Cantarini, Nicoletta
11 Peterson, Dale Harvey
9 Elashvili, Alexander Grigorievich
9 Liberati, Jose I.
8 De Concini, Corrado
7 Adamović, Dražen
7 Boyallian, Carina
7 Cheng, Shun-Jen
6 Gorelik, Maria
6 Jibladze, Mamuka A.
6 Perše, Ozren
5 Carpentier, Sylvain
5 D’Andrea, Alessandro
5 Heluani, Reimundo
5 Rudakov, Alexei Nikolaevich
5 Vinberg, Èrnest Borisovich
4 Procesi, Claudio
4 Radul, Andrey
4 Weisfeiler, Boris
3 Caselli, Fabrizio
3 Kazhdan, David
3 Novikov, Sergeĭ Petrovich
3 Popov, Vladimir Leonidovich
3 Raina, Ashok K.
3 Todorov, Ivan T.
3 Wang, Weiqiang
3 Zel’manov, Efim Isaakovich
2 Alekseevskiĭ, Dmitriĭ Vladimirovich
2 Arbarello, Enrico
2 Belolipetsky, Mikhail V.
2 Bokut, Leonid A.
2 Fattori, Davide
2 Frenkel, Edward V.
2 Gabber, Ofer
2 Gindikin, Simon Grigorevich
2 Jakobsen, Hans Plesner
2 Kang, Seok-Jin
2 Panyushev, Dmitri Ivanovich
2 Parshin, Alekseĭ Nikolaevich
2 Platonov, Vladimir Petrovich
2 Retakh, Alexander
2 Rozhkovskaya, Natasha
2 Shestakov, Ivan Pavlovich
2 Shvartsman, O. V.
2 Smilga, Andrei V.
2 Taĭmanov, Iskander Asanovich
2 Timashev, Dmitri A.
2 Turhan, Refik
2 Vignoli, Veronica
2 Xu, Feng
2 Yakimova, Oksana S.
2 Yan, Catherine Huafei
1 Astashov, A. M.
1 Astashova, Irina Viktorovna
1 Barakat, Aliaa
1 Beck, Jonathan
1 Bezrukavnikov, Roman
1 Bocharov, Alexei V.
1 Brylinski, Jean-Luc
1 Brylinski, Ranee Kathryn
1 Bukhshtaber, Viktor Matveevich
1 Cellini, Paola
1 Chetverikov, Vladimir N.
1 Cheung, Pokman
1 Dadok, Jiri
1 Date, Ghanashyam
1 Deodhar, Vinay V.
1 Dhar, Avinash
1 Dong, Chongying
1 Elsinger, Jason
1 Etingof, Pavel Il’ich
1 Frenkel, Igor B.
1 Fuchs, Dmitry Borisovich
1 Futorny, Vyacheslav M.
1 Gardini, Matteo
1 Godbole, Rohini M.
1 Golenishcheva-Kutuzova, Maria I.
1 Golod, Evgeniĭ Solomonovich
1 Govindarajan, Thupil R.
1 Grigorchuk, Rostislav Ivanovich
1 Guillemin, Victor W.
1 Hekmati, Pedram
1 Helemskii, Alexander Ya.
1 Hogben, Leslie
1 Iyer, Bala R.
1 Jain, Sachin
1 Kashuba, Iryna
1 Kemer, Aleksandr Robertovich
1 Kharchenko, Vladislav K.
1 Kharlampovich, Olga G.
1 Khor’kova, Nina Grigor’evna
1 Kikkawa, Keiji
1 Kolesnikov, Pavel Sergeevich
...and 65 more Co-Authors
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Serials

37 Communications in Mathematical Physics
30 Advances in Mathematics
16 Journal of Mathematical Physics
13 Japanese Journal of Mathematics. 3rd Series
11 IMRN. International Mathematics Research Notices
11 Transformation Groups
7 Journal of Algebra
5 Functional Analysis and its Applications
5 Proceedings of the National Academy of Sciences of the United States of America
5 Selecta Mathematica. New Series
4 Russian Mathematical Surveys
4 Uspekhi Matematicheskikh Nauk [N. S.]
4 Inventiones Mathematicae
4 Mathematics of the USSR. Izvestiya
4 Bulletin of the American Mathematical Society. New Series
3 Communications in Algebra
3 Letters in Mathematical Physics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Advanced Series in Mathematical Physics
3 Progress in Mathematics
2 Bulgarian Journal of Physics
2 Journal of the American Mathematical Society
2 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
2 Advances in Theoretical and Mathematical Physics
2 Communications in Contemporary Mathematics
2 Moscow Mathematical Journal
2 Journal of Algebra and its Applications
2 University Lecture Series
1 International Journal of Modern Physics A
1 Mathematical Notes
1 Nuclear Physics. B
1 Physics Letters. B
1 Annales de l’Institut Fourier
1 Canadian Mathematical Bulletin
1 Journal of Functional Analysis
1 Memoirs of the American Mathematical Society
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Transactions of the Moscow Mathematical Society
1 Acta Applicandae Mathematicae
1 Advances in Mathematics (Beijing)
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Indagationes Mathematicae. New Series
1 Russian Academy of Sciences. Izvestiya. Mathematics
1 Journal of Lie Theory
1 Izvestiya: Mathematics
1 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo
1 The Asian Journal of Mathematics
1 Journal of the European Mathematical Society (JEMS)
1 International Journal of Geometric Methods in Modern Physics
1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
1 Contemporary Mathematics
1 Mathematical Sciences Research Institute Publications
1 Journal of Physics A: Mathematical and Theoretical
1 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae
1 Springer Proceedings in Mathematics & Statistics
1 Transactions of A. Razmadze Mathematical Institute
1 Universitext

Publications by Year

Citations contained in zbMATH Open

254 Publications have been cited 12,892 times in 7,481 Documents Cited by Year
Infinite dimensional Lie algebras. 3rd ed. Zbl 0716.17022
Kac, Victor G.
1990
Lie superalgebras. Zbl 0366.17012
Kac, V. G.
1977
Quantum calculus. Zbl 0986.05001
Kac, Victor; Cheung, Pokman
764
2002
Vertex algebras for beginners. 2nd ed. Zbl 0924.17023
Kac, Victor
400
1998
Bombay lectures on highest weight representations of infinite dimensional Lie algebras. Zbl 0668.17012
Kac, V. G.; Raina, A. K.
287
1987
Basic representations of affine Lie algebras and dual resonance models. Zbl 0493.17010
Frenkel, I. B.; Kac, V. G.
264
1980
Infinite-dimensional Lie algebras, theta functions and modular forms. Zbl 0584.17007
Kac, Victor G.; Peterson, Dale H.
245
1984
Contravariant form for infinite-dimensional Lie algebras and superalgebras. Zbl 0574.17002
Kac, V. G.
208
1979
Infinite root systems, representations of graphs and invariant theory. Zbl 0427.17001
Kac, V. G.
189
1980
Highest weight representations of infinite-dimensional Lie algebras. Zbl 0425.17009
Kac, V. G.
182
1980
Infinite dimensional Lie algebras. An introduction. Zbl 0537.17001
Kac, Victor G.
177
1983
Vertex algebras for beginners. Zbl 0861.17017
Kac, Victor
172
1996
Infinite dimensional Lie algebras. 2nd ed. Zbl 0574.17010
Kac, Victor G.
156
1985
Some remarks on nilpotent orbits. Zbl 0431.17007
Kac, V. G.
154
1980
A sketch of Lie superalgebra theory. Zbl 0359.17009
Kac, V. G.
151
1977
Representations of quantum groups at roots of 1. Zbl 0738.17008
De Concini, Corrado; Kac, Victor G.
140
1990
Structure of representations with highest weight of infinite-dimensional Lie algebras. Zbl 0427.17011
Kac, V. G.; Kazhdan, D. A.
137
1979
Structure theory of finite conformal algebras. Zbl 0918.17019
D’Andrea, Alessandro; Kac, Victor G.
134
1998
Simple irreducible graded Lie algebras of finite growth. Zbl 0222.17007
Kac, V. G.
127
1970
Modular invariant representations of infinite-dimensional Lie algebras and superalgebras. Zbl 0652.17010
Kac, Victor G.; Wakimoto, Minoru
126
1988
Quantum reduction for affine superalgebras. Zbl 1106.17026
Kac, Victor; Roan, Shi-Shyr; Wakimoto, Minoru
126
2003
Moduli spaces of curves and representation theory. Zbl 0647.17010
Arbarello, E.; De Concini, C.; Kac, V. G.; Procesi, C.
125
1988
Infinite flag varieties and conjugacy theorems. Zbl 0512.17008
Peterson, Dale H.; Kac, Victor G.
123
1983
Spin and wedge representations of infinite-dimensional Lie algebras and groups. Zbl 0469.22016
Kac, Victor G.; Peterson, Dale H.
123
1981
Infinite-dimensional algebras, Dedekind’s \(\eta\)-function, classical Möbius function and the very strange formula. Zbl 0391.17010
Kac, V. G.
123
1978
Finite vs affine \(W\)-algebras. Zbl 1161.17015
De Sole, Alberto; Kac, Victor G.
116
2006
Quantum reduction and representation theory of superconformal algebras. Zbl 1049.17025
Kac, Victor G.; Wakimoto, Minoru
112
2004
Classification of simple Z-graded Lie superalgebras and simple Jordan superalgebras. Zbl 0367.17007
Kac, V. G.
109
1977
Modular and conformal invariance constraints in representation theory of affine algebras. Zbl 0661.17016
Kac, Victor G.; Wakimoto, Minoru
106
1988
Integrable highest weight modules over affine superalgebras and number theory. Zbl 0854.17028
Kac, Victor G.; Wakimoto, Minoru
106
1994
Cohomology of conformal algebras. Zbl 0959.17018
Bakalov, Bojko; Kac, Victor G.; Voronov, Alexander A.
105
1999
Characters of typical representations of classical Lie superalgebras. Zbl 0359.17010
Kac, V. G.
100
1977
Quasifinite highest weight modules over the Lie algebra of differential operators on the circle. Zbl 0826.17027
Kac, Victor; Radul, Andrey
99
1993
Infinite root systems, representations of graphs and invariant theory. II. Zbl 0497.17007
Kac, V. G.
96
1982
\({\mathcal W}_{1+\infty}\) and \({\mathcal W}(gl_ N)\) with central charge \(N\). Zbl 0838.17028
Frenkel, Edward; Kac, Victor; Radul, Andrey; Wang, Weiqiang
96
1995
Classification of infinite-dimensional simple linearly compact Lie superalgebras. Zbl 0929.17026
Kac, Victor G.
93
1998
Conformal modules. Zbl 1022.17018
Cheng, Shun-Jen; Kac, Victor G.
91
1997
Representations of classical Lie superalgebras. Zbl 0388.17002
Kac, V.
91
1978
Theory of finite pseudoalgebras. Zbl 1001.16021
Bakalov, Bojko; D’Andrea, Alessandro; Kac, Victor G.
88
2001
Characters and fusion rules for \(W\)-algebras via quantized Drinfeld- Sokolov reduction. Zbl 0768.17008
Frenkel, Edward; Kac, Victor; Wakimoto, Minoru
88
1992
Field algebras. Zbl 1032.17045
Bakalov, Bojko; Kac, Victor G.
88
2003
On integral representations of \(q\)-gamma and \(q\)-beta functions. Zbl 1225.33017
De Sole, Alberto; Kac, Victor G.
85
2005
Integrable highest weight modules over affine superalgebras and Appell’s function. Zbl 0980.17002
Kac, Victor G.; Wakimoto, Minoru
83
2001
Poisson vertex algebras in the theory of Hamiltonian equations. Zbl 1244.17017
Barakat, Aliaa; De Sole, Alberto; Kac, Victor G.
74
2009
Representation theory of the vertex algebra \(W_{1+\infty}\). Zbl 0862.17023
Kac, Victor; Radul, Andrey
70
1996
Bombay lectures on highest weight representations of infinite dimensional Lie algebras. 2nd ed. Zbl 1294.17021
Kac, Victor G.; Raina, Ashok K.; Rozhkovskaya, Natasha
70
2013
Classification of modular invariant representations of affine algebras. Zbl 0742.17022
Kac, V. G.; Wakimoto, M.
69
1989
Realization of the basic representations of the Euclidean Lie algebras. Zbl 0476.17003
Kac, V. G.; Kazhdan, D. A.; Lepowsky, J.; Wilson, R. L.
69
1981
Vertex operator superalgebras and their representations. Zbl 0838.17035
Kac, Victor; Wang, Weiqiang
65
1994
The \(n\)-component KP hierarchy and representation theory. Zbl 1062.37071
Kac, V. G.; van de Leur, J. W.
64
2003
A new class of unitarizable highest weight representations of infinite dimensional Lie algebras. Zbl 0581.17009
Jakobsen, H. P.; Kac, V. G.
62
1985
Structure of some categories of representations of infinite-dimensional Lie algebras. Zbl 0491.17008
Deodhar, Vinay V.; Gabber, Ofer; Kac, Victor
59
1982
Quantum coadjoint action. Zbl 0747.17018
De Concini, C.; Kac, V. G.; Procesi, C.
58
1992
Classification of finite simple Lie conformal superalgebras. Zbl 1050.17023
Fattori, Davide; Kac, Victor G.
55
2002
Laplace operators of infinite-dimensional Lie algebras and theta functions. Zbl 0532.17008
Kac, Victor G.
53
1984
Automorphisms of finite order of semisimple Lie algebras. Zbl 0274.17002
Kac, V. G.
53
1969
Infinite-dimensional Lie algebras and Dedekind’s \(\eta\)-function. Zbl 0299.17005
Kac, V. G.
53
1974
Coadjoint action of a semisimple algebraic group and the center of the enveloping algebra in characteristic \(p\). Zbl 0324.17001
Kac, V.; Weisfeiler, Boris
53
1976
Polar representations. Zbl 0611.22009
Dadok, Jiri; Kac, Victor
52
1985
Classification of good gradings of simple Lie algebras. Zbl 1073.17002
Elashvili, A. G.; Kac, V. G.
51
2005
Superconformal current algebras and their unitary representations. Zbl 0599.17011
Kac, Victor G.; Todorov, Ivan T.
49
1985
Formal distribution algebras and conformal algebras. Zbl 1253.17002
Kac, Victor G.
47
1999
Quasifinite representations of classical Lie subalgebras of \({\mathcal W}_{1+\infty}\). Zbl 0938.17018
Kac, Victor G.; Wang, Weiqiang; Yan, Catherine H.
46
1998
On simplicity of vacuum modules. Zbl 1112.17023
Gorelik, Maria; Kac, Victor
43
2007
On defining relations of certain infinite-dimensional Lie algebras. Zbl 0474.17007
Gabber, Ofer; Kac, Victor G.
43
1981
Some quantum analogues of solvable Lie groups. Zbl 0878.17014
De Concini, C.; Kac, V. G.; Procesi, C.
42
1995
Classification of linearly compact simple Jordan and generalized Poisson superalgebras. Zbl 1173.17023
Cantarini, Nicoletta; Kac, Victor G.
41
2007
Irreducible representations of Lie \(p\)-algebras. Zbl 0237.17003
Weisfeiler, B. Yu.; Kac, V. G.
41
1971
Defining relations of certain infinite dimensional groups. Zbl 0625.22014
Kac, V. G.; Peterson, D. H.
40
1985
The \(n\)-component KP hierarchy and representation theory. Zbl 0843.35105
Kac, V. G.; van de Leur, J. W.
40
1993
A new \(N=6\) superconformal algebra. Zbl 0906.17020
Cheng, Shun-Jen; Kac, Victor G.
39
1997
Description of filtered Lie algebras with which graded Lie algebras of Cartan type are associated. Zbl 0317.17002
Kac, V. G.
38
1975
On automorphisms of Kac-Moody algebras and groups. Zbl 0851.17026
Kac, V. G.; Wang, S. P.
38
1992
On classification of superconformal algebras. Zbl 0938.17500
Kac, V. G.; van de Leur, J. W.
37
1989
Vacuum structure in supersymmetric Yang-Mills theories with any gauge group. Zbl 1035.81061
Kac, V. G.; Smilga, A. V.
36
2000
An elucidation of ”Infinite-dimensional algebras…and the very strange formula.” \(E^{(1)}_8\) and the cube root of the modular invariant j. Zbl 0431.17009
Kac, V. G.
36
1980
The geometry of spinors and the multicomponent BKP and DKP hierarchies. Zbl 0924.35114
Kac, Victor; van de Leur, Johan
34
1998
Exceptional hierarchies of soliton equations. Zbl 0691.17014
Kac, Victor G.; Wakimoto, Minoru
34
1989
On rationality of \(W\)-algebras. Zbl 1221.17033
Kac, Victor G.; Wakimoto, Minoru
34
2008
Affine Lie algebras and Hecke modular forms. Zbl 0457.17007
Kac, V. G.; Peterson, D. H.
34
1980
On the classification of subalgebras of \(\text{Cend}_N\) and \(\text{gc}_N\). Zbl 1034.17018
Boyallian, Carina; Kac, Victor G.; Liberati, Jose I.
33
2003
Classical \(\mathcal W\)-algebras and generalized Drinfeld-Sokolov bi-Hamiltonian systems within the theory of Poisson vertex algebras. Zbl 1320.37031
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele
33
2013
Classification of simple linearly compact \(n\)-Lie superalgebras. Zbl 1232.17008
Cantarini, Nicoletta; Kac, Victor G.
32
2010
Twisted modules over lattice vertex algebras. Zbl 1229.17028
Bakalov, Bojko; Kac, Victor G.
32
2005
Solitons in affine and permutation orbifolds. Zbl 1078.81051
Kac, Victor G.; Longo, Roberto; Xu, Feng
31
2005
Branching functions for winding subalgebras and tensor products. Zbl 0717.17017
Kac, V. G.; Wakimoto, M.
31
1990
Non-local Poisson structures and applications to the theory of integrable systems. Zbl 1286.37062
De Sole, Alberto; Kac, Victor G.
31
2013
Super boson-fermion correspondence. Zbl 0625.58041
Kac, V. G.; van de Leur, J.
30
1987
\(\Gamma\)-conformal algebras. Zbl 1031.81527
Golenishcheva-Kutuzova, Maria I.; Kac, Victor G.
30
1998
Finite linear groups whose ring of invariants is a complete intersection. Zbl 0483.14002
Kac, Victor; Watanabe, Kei-Ichi
29
1982
Sur les groupes linéaires algébriques dont l’algèbre des invariants est libre. Zbl 0343.20023
Kac, Victor G.; Popov, Vladimir L.; Vinberg, Ernest B.
29
1976
Quasi-homogeneous cones. Zbl 0163.16902
Vinberg, È. B.; Kac, V. G.
29
1967
The infinite wedge representation and the reciprocity law for algebraic curves. Zbl 0699.22028
Arbarello, E.; De Concini, C.; Kac, V. G.
28
1989
Structure of some \(\mathbb Z\)-graded Lie superalgebras of vector fields. Zbl 0988.17023
Cheng, S.-J.; Kac, V.
27
1999
Torsion in cohomology of compact Lie groups and Chow rings of reductive algebraic groups. Zbl 0566.57028
Kac, V. G.
27
1985
Some remarkable degenerations of quantum groups. Zbl 0795.17006
De Concini, C.; Kac, V. G.; Procesi, C.
27
1993
Lectures on the infinite wedge-representation and the MKP hierarchy. Zbl 0638.35070
Kac, V. G.; Peterson, D. H.
26
1986
Lie conformal algebra cohomology and the variational complex. Zbl 1225.49009
De Sole, Alberto; Kac, Victor G.
26
2009
Affine orbifolds and rational conformal field theory extensions of \(W_{1+\infty}\). Zbl 0904.17021
Kac, Victor G.; Todorov, Ivan T.
26
1997
Spinors of 13-dimensional space. Zbl 0429.20043
Gatti, V.; Viniberghi, E.
26
1978
The generalized Giambelli formula and polynomial KP and CKP tau-functions. Zbl 1517.37071
Kac, Victor; van de Leur, Johan
2
2023
Multicomponent KP type hierarchies and their reductions, associated to conjugacy classes of Weyl groups of classical Lie algebras. Zbl 1521.37073
Kac, Victor; van de Leur, Johan
2
2023
Unitarity of minimal \(W\)-algebras and their representations. I. Zbl 07700880
Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo
1
2023
Polynomial tau-functions for the multicomponent KP hierarchy. Zbl 1483.14085
Kac, Victor G.; De Leur, Johan W. van
4
2022
Invariant Hermitian forms on vertex algebras. Zbl 1497.17038
Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo
2
2022
On Lax operators. Zbl 1522.37077
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele
1
2022
Polynomial tau-functions of the KP, BKP, and the \(s\)-component KP hierarchies. Zbl 1464.37073
Kac, Victor G.; Rozhkovskaya, Natasha; van de Leur, Johan
15
2021
Lie conformal superalgebras and duality of modules over linearly compact Lie superalgebras. Zbl 1472.17084
Cantarini, Nicoletta; Caselli, Fabrizio; Kac, Victor
6
2021
Computation of cohomology of vertex algebras. Zbl 1509.17020
Bakalov, Bojko; De Sole, Alberto; Kac, Victor G.
4
2021
Classification of degenerate Verma modules for \(E(5, 10)\). Zbl 1482.17023
Cantarini, Nicoletta; Caselli, Fabrizio; Kac, Victor
4
2021
Irreducible modules over finite simple Lie pseudoalgebras. III: Primitive pseudoalgebras of type \(H\). Zbl 1511.17067
Bakalov, Bojko; D’Andrea, Alessandro; Kac, Victor G.
3
2021
Classical and variational Poisson cohomology. Zbl 1487.17050
Bakalov, Bojko; De Sole, Alberto; Heluani, Reimundo; Kac, Victor G.; Vignoli, Veronica
2
2021
Yangians versus minimal \(W\)-algebras: a surprising coincidence. Zbl 1496.17011
Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo
2
2021
Integrability of classical affine \(W\)-algebras. Zbl 1511.17059
De Sole, Alberto; Jibladze, Mamuka; Kac, Victor G.; Valeri, Daniele
2
2021
An application of collapsing levels to the representation theory of affine vertex algebras. Zbl 1457.17020
Adamović, Dražen; Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo; Perše, Ozren
9
2020
Computation of cohomology of Lie conformal and Poisson vertex algebras. Zbl 1479.17036
Bakalov, Bojko; De Sole, Alberto; Kac, Victor G.
5
2020
On the structure of quantum vertex algebras. Zbl 1431.81077
De Sole, Alberto; Gardini, Matteo; Kac, Victor G.
5
2020
\( \underline{p} \)-reduced multicomponent KP hierarchy and classical \(\mathcal{W} \)-algebras \(\mathcal{W}(\mathfrak{gl}_N,\underline{p})\). Zbl 1458.37068
Carpentier, Sylvain; De Sole, Alberto; Kac, Victor G.; Valeri, Daniele; van de Leur, Johan
4
2020
Chiral versus classical operad. Zbl 1483.17019
Bakalov, Bojko; De Sole, Alberto; Heluani, Reimundo; Kac, Victor G.
3
2020
Poisson \(\lambda\)-brackets for differential-difference equations. Zbl 1473.37079
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele; Wakimoto, Minoru
2
2020
Polynomial tau-functions of BKP and DKP hierarchies. Zbl 1421.37028
Kac, Victor; Van De Leur, Johan
17
2019
An operadic approach to vertex algebra and Poisson vertex algebra cohomology. Zbl 1471.17048
Bakalov, Bojko; De Sole, Alberto; Heluani, Reimundo; Kac, Victor G.
12
2019
Local and non-local multiplicative Poisson vertex algebras and differential-difference equations. Zbl 1421.35323
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele; Wakimoto, Minoru
7
2019
Trace functions of the parafermion vertex operator algebras. Zbl 1473.17070
Dong, Chongying; Kac, Victor; Ren, Li
3
2019
Semisimplicity sets for cyclic elements in simple Lie algebras. Zbl 1477.17060
Elashvili, A.; Jibladze, M.; Kac, V.
2
2019
Kostant pairs of Lie type and conformal embeddings. Zbl 1475.17046
Adamović, Dražen; Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo; Perše, Ozren
2
2019
On Dynkin gradings in simple Lie algebras. Zbl 1436.17039
Elashvili, Alexander; Jibladze, Mamuka; Kac, Victor
1
2019
Conformal embeddings of affine vertex algebras in minimal \(W\)-algebras. I: Structural results. Zbl 1420.17028
Adamović, Dražen; Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo; Perše, Ozren
25
2018
Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions. Zbl 1401.14209
Kac, Victor G.; van de Leur, Johan W.
21
2018
Classical affine \(\mathcal W\)-algebras and the associated integrable Hamiltonian hierarchies for classical Lie algebras. Zbl 1426.17015
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele
18
2018
Finite \(W\)-algebras for \(\mathfrak{gl}_N\). Zbl 1398.17007
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele
6
2018
A Lax type operator for quantum finite \(W\)-algebras. Zbl 1456.17008
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele
5
2018
On characters of irreducible highest weight modules of negative integer level over affine Lie algebras. Zbl 1459.17042
Kac, Victor G.; Wakimoto, Minoru
3
2018
On the classification of non-equal rank affine conformal embeddings and applications. Zbl 1447.17018
Adamović, Dražen; Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo; Perše, Ozren
2
2018
Lie groups, geometry, and representation theory. A tribute to the life and work of Bertram Kostant. Zbl 1412.22001
2
2018
Conformal embeddings of affine vertex algebras in minimal \(W\)-algebras. II: Decompositions. Zbl 1425.17037
Adamović, Dražen; Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo; Perše, Ozren
16
2017
A remark on boundary level admissible representations. (Une remarque sur les représentations admissibles de niveau limite.) Zbl 1418.17054
Kac, Victor G.; Wakimoto, Minoru
16
2017
Introduction to vertex algebras, Poisson vertex algebras, and integrable Hamiltonian PDE. Zbl 1430.17088
Kac, Victor
6
2017
Representations of superconformal algebras and mock theta functions. Zbl 1436.17034
Kac, V. G.; Wakimoto, M.
3
2017
A characterization of modified mock theta functions. Zbl 1408.11028
Kac, Victor G.; Wakimoto, Minoru
1
2017
Structure of classical (finite and affine) \(\mathcal W\)-algebras. Zbl 1395.17063
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele
21
2016
Classical affine \(\mathcal{W}\)-algebras for \(\mathfrak{gl}_N\) and associated integrable Hamiltonian hierarchies. Zbl 1433.17038
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele
17
2016
Finite vs. infinite decompositions in conformal embeddings. Zbl 1405.17049
Adamović, Dražen; Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo; Perše, Ozren
16
2016
A new scheme of integrability for (bi)Hamiltonian PDE. Zbl 1393.17048
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele
13
2016
Representations of affine superalgebras and mock theta functions. II. Zbl 1372.17020
Kac, Victor G.; Wakimoto, Minoru
10
2016
Classification of linearly compact simple Nambu-Poisson algebras. Zbl 1386.17025
Cantarini, Nicoletta; Kac, Victor G.
4
2016
Representations of affine superalgebras and mock theta functions. III. Zbl 1373.17027
Kac, Victor G.; Wakimoto, Minoru
4
2016
Characters of (relatively) integrable modules over affine Lie superalgebras. Zbl 1378.17017
Gorelik, Maria; Kac, Victor G.
16
2015
Adler-Gelfand-Dickey approach to classical \(\mathcal{W}\)-algebras within the theory of Poisson vertex algebras. Zbl 1327.17024
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele
16
2015
Double Poisson vertex algebras and non-commutative Hamiltonian equations. Zbl 1327.17023
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele
14
2015
Conformal embeddings and simple current extensions. Zbl 1418.17059
Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo; Xu, Feng
13
2015
Erratum to: “Classical \(\mathcal W\)-algebras and generalized Drinfeld-Sokolov hierarchies for minimal and short nilpotents”. Zbl 1327.17022
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele
6
2015
On integrability of some bi-Hamiltonian two field systems of partial differential equations. Zbl 1321.37068
De Sole, Alberto; Kac, Victor G.; Turhan, Refik
5
2015
Singular degree of a rational matrix pseudodifferential operator. Zbl 1338.12006
Carpentier, Sylvain; De Sole, Alberto; Kac, Victor G.
4
2015
Representations of affine superalgebras and mock theta functions. Zbl 1372.17019
Kac, Victor G.; Wakimoto, Minoru
15
2014
Classical \(\mathcal{W}\)-algebras and generalized Drinfeld-Sokolov hierarchies for minimal and short nilpotents. Zbl 1327.17021
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele
13
2014
Dirac reduction for Poisson vertex algebras. Zbl 1368.17031
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele
12
2014
Rational matrix pseudodifferential operators. Zbl 1321.35269
Carpentier, Sylvain; De Sole, Alberto; Kac, Victor G.
8
2014
Dirac operators and the very strange formula for Lie superalgebras. Zbl 1344.17010
Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo
5
2014
A new approach to the Lenard-Magri scheme of integrability. Zbl 1305.37035
De Sole, Alberto; Kac, Victor G.; Turhan, Refik
4
2014
Integrability of Dirac reduced bi-Hamiltonian equations. Zbl 1326.35310
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele
3
2014
Algebraic vs physical \(N = 6\) 3-algebras. Zbl 1288.81134
Cantarini, Nicoletta; Kac, Victor G.
1
2014
Bombay lectures on highest weight representations of infinite dimensional Lie algebras. 2nd ed. Zbl 1294.17021
Kac, Victor G.; Raina, Ashok K.; Rozhkovskaya, Natasha
70
2013
Classical \(\mathcal W\)-algebras and generalized Drinfeld-Sokolov bi-Hamiltonian systems within the theory of Poisson vertex algebras. Zbl 1320.37031
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele
33
2013
Non-local Poisson structures and applications to the theory of integrable systems. Zbl 1286.37062
De Sole, Alberto; Kac, Victor G.
31
2013
The variational Poisson cohomology. Zbl 1290.17027
De Sole, Alberto; Kac, Victor G.
21
2013
Classification of finite irreducible modules over the Lie conformal superalgebra \(CK_{6}\). Zbl 1280.17010
Boyallian, Carina; Kac, Victor G.; Liberati, José I.
20
2013
Cyclic elements in semisimple Lie algebras. Zbl 1329.17007
Elashvili, A. G.; Kac, V. G.; Vinberg, E. B.
12
2013
Irreducible modules over finite simple Lie pseudoalgebras. II: Primitive pseudoalgebras of type \(K\). Zbl 1287.17051
Bakalov, Bojko; D’Andrea, Alessandro; Kac, Victor G.
7
2013
Some remarks on non-commutative principal ideal rings. Zbl 1270.12002
Carpentier, Sylvain; De Sole, Alberto; Kac, Victor G.
6
2013
Some algebraic properties of differential operators. Zbl 1524.12004
Carpentier, Sylvain; De Sole, Alberto; Kac, Victor G.
11
2012
Essential variational Poisson cohomology. Zbl 1297.17012
De Sole, Alberto; Kac, Victor G.
7
2012
Denominator identities for finite-dimensional Lie superalgebras and Howe duality for compact dual pairs. Zbl 1335.17004
Gorelik, Maria; Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo
5
2012
On complete reducibility for infinite-dimensional Lie algebras. Zbl 1225.17026
Gorelik, Maria; Kac, Victor
16
2011
Classification of linearly compact simple algebraic \(N=6\) 3-algebras. Zbl 1270.17002
Cantarini, Nicoletta; Kac, Victor G.
7
2011
Calculus structure on the Lie conformal algebra complex and the variational complex. Zbl 1317.18019
De Sole, Alberto; Hekmati, Pedram; Kac, Victor G.
3
2011
Classification of simple linearly compact \(n\)-Lie superalgebras. Zbl 1232.17008
Cantarini, Nicoletta; Kac, Victor G.
32
2010
Classification of linearly compact simple rigid superalgebras. Zbl 1269.17002
Cantarini, Nicoletta; Kac, Victor G.
16
2010
Irreducible modules over finite simple Lie conformal superalgebras of type \(K\). Zbl 1311.17005
Boyallian, Carina; Kac, Victor G.; Liberati, José I.
15
2010
On classification of Poisson vertex algebras. Zbl 1235.17020
De Sole, Alberto; Kac, Victor G.; Wakimoto, Minoru
7
2010
Denominator formulas for Lie superalgebras (extended abstract). Zbl 1373.17013
Kac, Victor; Möseneder Frajria, Pierluigi; Papi, Paolo
3
2010
Poisson vertex algebras in the theory of Hamiltonian equations. Zbl 1244.17017
Barakat, Aliaa; De Sole, Alberto; Kac, Victor G.
74
2009
Lie conformal algebra cohomology and the variational complex. Zbl 1225.49009
De Sole, Alberto; Kac, Victor G.
26
2009
On exceptional nilpotents in semisimple Lie algebras. Zbl 1252.17006
Elashvili, A. G.; Kac, V. G.; Vinberg, E. B.
9
2009
Differential conformal superalgebras and their forms. Zbl 1217.17018
Kac, Victor; Lau, Michael; Pianzola, Arturo
5
2009
On rationality of \(W\)-algebras. Zbl 1221.17033
Kac, Victor G.; Wakimoto, Minoru
34
2008
Multiplets of representations, twisted Dirac operators and Vogan’s conjecture in affine setting. Zbl 1177.17016
Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo
8
2008
SUSY lattice vertex algebras. Zbl 1202.81151
Heluani, Reimundo; Kac, Victor G.
4
2008
Simple Jordan conformal superalgebras. Zbl 1236.17040
Kac, Victor G.; Retakh, Alexander
3
2008
On the kernel of the affine Dirac operator. Zbl 1162.17024
Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo
1
2008
On simplicity of vacuum modules. Zbl 1112.17023
Gorelik, Maria; Kac, Victor
43
2007
Classification of linearly compact simple Jordan and generalized Poisson superalgebras. Zbl 1173.17023
Cantarini, Nicoletta; Kac, Victor G.
41
2007
Supersymmetric vertex algebras. Zbl 1205.17029
Heluani, Reimundo; Kac, Victor G.
18
2007
Characters of highest weight modules over affine Lie algebras are meromorphic functions. Zbl 1152.17011
Gorelik, Maria; Kac, Victor
2
2007
Finite vs affine \(W\)-algebras. Zbl 1161.17015
De Sole, Alberto; Kac, Victor G.
116
2006
Representations of simple finite Lie conformal superalgebras of type \(W\) and \(S\). Zbl 1111.17001
Boyallian, Carina; Kac, Victor G.; Liberati, Jose I.; Rudakov, Alexei
20
2006
Irreducible modules over finite simple Lie pseudoalgebras. I: Primitive pseudoalgebras of type \(W\) and \(S\). Zbl 1104.17006
Bakalov, Bojko; D’Andrea, Alessandro; Kac, Victor G.
17
2006
Infinite-dimensional primitive linearly compact Lie superalgebras. Zbl 1204.17017
Cantarini, Nicoletta; Kac, Victor G.
15
2006
Generalized vertex algebras. Zbl 1241.17029
Bakalov, B.; Kac, V. G.
11
2006
Automorphisms and forms of simple infinite-dimensional linearly compact Lie superalgebras. Zbl 1115.17009
Cantarini, Nicoletta; Kac, Victor G.
8
2006
...and 154 more Documents
all top 5

Cited by 5,483 Authors

146 Kac, Victor
74 Su, Yucai
53 Creutzig, Thomas
52 Li, Haisheng
47 Jing, Naihuan
46 Adamović, Dražen
42 Zhao, Kaiming
40 Tan, Shaobin
39 Dong, Chongying
39 Milas, Antun
38 De Sole, Alberto
38 Van der Jeugt, Joris
37 Zhang, Ruibin
34 Arakawa, Tomoyuki
34 Futorny, Vyacheslav M.
34 Liu, Wende
34 Misra, Kailash C.
33 Linshaw, Andrew Ross
33 Serganova, Vera V.
33 Tariboon, Jessada
33 Zhang, Yongzheng
32 Ntouyas, Sotiris K.
31 Chen, Liangyun
31 Feĭgin, Boris L’vovich
31 Jiang, Cuipo
31 Shu, Bin
31 Wang, Qing
30 Kolesnikov, Pavel Sergeevich
30 Lam, Ching Hung
30 Naito, Satoshi
30 Okado, Masato
30 Ridout, David
29 Kang, Seok-Jin
29 van de Leur, Johan W.
28 Hong, Yanyong
27 Kwon, Jae-Hoon
26 Cheng, Shun-Jen
26 Eswara Rao, Senapathi
26 Frenkel, Edward V.
26 Liu, Dong
26 Valeri, Daniele
25 Li, Chuanzhong
25 Mursaleen, Mohammad
24 Papi, Paolo
24 Yakimov, Milen T.
23 Chari, Vyjayanthi
23 Leites, Dimitry A.
23 Xu, Feng
22 Agrawal, Purshottam Narain
22 Bringmann, Kathrin
22 Elduque, Alberto
22 Gao, Yun
22 Kashiwara, Masaki
22 Kleinschmidt, Axel
22 Pei, Yufeng
22 Pianzola, Arturo
22 Stoilova, Nedjalka I.
22 Wang, Weiqiang
21 Gould, Mark D.
21 Guo, Xiangqian
21 Kaygorodov, Ivan
21 Xia, Chunguang
20 Boyallian, Carina
20 Hu, Naihong
20 Lepowsky, James
20 Sun, Jiancai
19 Gupta, Vijay
19 Lü, Rencai
19 Nicolai, Hermann
19 Palev, Tchavdar D.
19 Palmkvist, Jakob
19 Yuan, Lamei
18 Fioresi, Rita
18 Möseneder Frajria, Pierluigi
18 Oh, Se-jin
18 Sagaki, Daisuke
18 Wakimoto, Minoru
17 Bai, Chengming
17 Bakalov, Bojko
17 Budak, Hüseyin
17 Cantarini, Nicoletta
17 Gannon, Terry
17 Gorelik, Maria
17 Jimbo, Michio
17 Liberati, Jose I.
17 Nakashima, Toshiki
17 Orlov, Aleksandr Yu.
17 Poletaeva, Elena
17 Sitthiwirattham, Thanin
17 Viswanath, Sankaran
17 Yamane, Hiroyuki
16 Brundan, Jonathan
16 Fuchs, Jürgen
16 Geer, Nathan
16 Kuniba, Atsuo
16 Miwa, Tetsuji
16 Morita, Jun
16 Patureau-Mirand, Bertrand
16 Vasserot, Eric
16 Xu, Xiaoping
...and 5,383 more Authors
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Cited in 484 Serials

806 Journal of Algebra
464 Communications in Mathematical Physics
413 Journal of Mathematical Physics
320 Advances in Mathematics
289 Communications in Algebra
269 Journal of High Energy Physics
236 Nuclear Physics. B
188 Journal of Pure and Applied Algebra
186 Letters in Mathematical Physics
139 Transactions of the American Mathematical Society
128 Journal of Geometry and Physics
109 Transformation Groups
104 Algebras and Representation Theory
91 Journal of Algebra and its Applications
87 Theoretical and Mathematical Physics
86 Proceedings of the American Mathematical Society
82 Advances in Difference Equations
80 Mathematische Zeitschrift
72 Selecta Mathematica. New Series
68 Inventiones Mathematicae
67 Duke Mathematical Journal
64 Representation Theory
57 Functional Analysis and its Applications
53 Journal of Physics A: Mathematical and Theoretical
50 Journal of Algebraic Combinatorics
48 Mathematische Annalen
46 Annales de l’Institut Fourier
45 Linear Algebra and its Applications
45 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
43 Publications of the Research Institute for Mathematical Sciences, Kyoto University
40 International Journal of Modern Physics A
39 Journal of Mathematical Sciences (New York)
39 Acta Mathematica Sinica. English Series
36 Frontiers of Mathematics in China
35 Linear and Multilinear Algebra
34 Applied Mathematics and Computation
34 Compositio Mathematica
34 Journal of Inequalities and Applications
33 Proceedings of the Japan Academy. Series A
33 Abstract and Applied Analysis
33 Communications in Contemporary Mathematics
32 Physics Letters. B
32 Journal of Lie Theory
29 Israel Journal of Mathematics
29 International Journal of Mathematics
29 Algebra Colloquium
29 Journal of Nonlinear Mathematical Physics
29 Science China. Mathematics
28 Journal of Combinatorial Theory. Series A
28 Journal of the American Mathematical Society
27 Journal of Functional Analysis
26 The Ramanujan Journal
24 Journal of Mathematical Analysis and Applications
24 Reviews in Mathematical Physics
21 Annals of Mathematics. Second Series
20 Journal of Soviet Mathematics
20 Bulletin of the American Mathematical Society. New Series
20 Filomat
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19 Reports on Mathematical Physics
18 Manuscripta Mathematica
18 Acta Applicandae Mathematicae
18 Physica D
18 Annales Henri Poincaré
16 Journal of the London Mathematical Society. Second Series
16 Memoirs of the American Mathematical Society
16 Science in China. Series A
16 Indagationes Mathematicae. New Series
16 Japanese Journal of Mathematics. 3rd Series
16 Advances in Mathematical Physics
15 Mathematical Methods in the Applied Sciences
15 Research in the Mathematical Sciences
14 Rocky Mountain Journal of Mathematics
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14 Nagoya Mathematical Journal
14 Journal of the European Mathematical Society (JEMS)
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14 AIMS Mathematics
13 International Journal of Theoretical Physics
13 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
13 Proceedings of the London Mathematical Society. Third Series
13 Siberian Mathematical Journal
13 The Electronic Journal of Combinatorics
13 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
13 Mediterranean Journal of Mathematics
13 Algebraic Combinatorics
12 Computers & Mathematics with Applications
12 Chaos, Solitons and Fractals
12 Geometriae Dedicata
12 Journal für die Reine und Angewandte Mathematik
12 Advances in Applied Mathematics
12 Chinese Annals of Mathematics. Series B
12 Nuclear Physics. B. Proceedings Supplements
12 Comptes Rendus. Mathématique. Académie des Sciences, Paris
11 Algebra and Logic
11 Demonstratio Mathematica
11 Transactions of the Moscow Mathematical Society
11 Applied Mathematics Letters
11 Turkish Journal of Mathematics
11 Boundary Value Problems
...and 384 more Serials
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Cited in 60 Fields

4,574 Nonassociative rings and algebras (17-XX)
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801 Associative rings and algebras (16-XX)
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281 Special functions (33-XX)
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219 Relativity and gravitational theory (83-XX)
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